Acta Physica Sinica, Volume. 69, Issue 16, 162101-1(2020)

Study of nuclear charge radius

Ying-Yu Cao and Jian-You Guo*
Author Affiliations
  • School of Physics and Materials Science, Anhui University, Hefei 230601, China
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    Figures & Tables(7)
    The fitting curve of the Eqs. (2) and (4).(The left picture is the fitting curve of the Eq. (2) and the right picture is the fitting curve of the Eq. (4))
    The fitting curve of the Eq. (13).
    The fitting curve of the Eq. (14).
    The fitting curve of the Eq. (15).
    The experimental values of the nuclear charge radii of Ba and Fr, Ho and Lu isotopic chains are compared with the theoretical values calculated by Eqs. (13)–(15).
    The difference between the experimental value of 368 nuclear charge radii and the theoretical value calculated by Eqs. (13)–(15) , respectively.
    • Table 1. The mentioned equations for nuclear charge radius .

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      Table 1. The mentioned equations for nuclear charge radius .

      公式参数σ/fm
      ${R_{\rm c}} = {r_0}A^{1/3}$r0 = 1.2269 fm σ = 0.1224
      ${R_{\rm c}} = {r_0}Z^{1/3}$r0 = 1.6394 fm σ = 0.0939
      ${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} } \right){A^{1/3} }$r0 = 1.2827 fm, a = 0.2700 σ = 0.0855
      ${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} + b\dfrac{1}{A} } \right){A^{1/3} }$r0 = 1.2331 fm, a = 0.1461, b = 2.3301 σ = 0.0510
      ${R_{\rm c}} = {r_0}\left( {1 + a\dfrac{ {N - {N^*} } }{Z} } \right){Z^{1/3} }$r0 = 1.6312 fm, a = 0.0627 σ = 0.0618
      ${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} + b\dfrac{1}{A} + c\dfrac{ { {Q^*} } }{A} } \right){A^{1/3} }$r0 = 1.2221 fm, a = 0.1350, b = 2.4698, c = 0.8976 σ = 0.0397
      ${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} + b\dfrac{1}{A} + c\dfrac{ {Q_0^*} }{A} } \right){A^{1/3} }$r0 = 1.2220 fm, a = 0.1410, b = 2.4200, c = 0.3643 σ = 0.0372
      ${R_{\rm c}} = {r_0}\left( {1 - a\dfrac{ {N - Z} }{A} + b\dfrac{1}{A} + c\dfrac{ {Q_0^*} }{A} + d\dfrac{\delta }{A} } \right){A^{1/3} }$r0 = 1.2223 fm, a = 0.1421, b = 2.4577, c = 0.3660 d = 0.1705 σ = 0.0369
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    Ying-Yu Cao, Jian-You Guo. Study of nuclear charge radius[J]. Acta Physica Sinica, 2020, 69(16): 162101-1

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    Paper Information

    Category: Research Articles

    Received: Oct. 8, 2019

    Accepted: --

    Published Online: Jan. 4, 2021

    The Author Email:

    DOI:10.7498/aps.69.20191643

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